Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some hills are mountains.
Some hills are valleys.
All valleys are rivers.
Conclusions:
I. Some rivers are valleys.
II. Some mountains are valleys.
III. Some hills are rivers.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusions I and III follow.
The Venn diagram:
Conclusions:
I. Some rivers are valleys. → True (All valleys are rivers, which means some rivers are valleys is definitely true)
II. Some mountains are valleys. → not follow (Because there is no definite relation given between mountains and valleys, so it can be possible only but not definitely true)
III. Some hills are rivers. → True (All valleys are rivers, and some hills are valleys, which means some hills are rivers is definitely true)
Hence, the correct answer is "Only conclusions I and III follow".